Factor by Grouping 7z^2+28z-az-4a

$7 z^{2} + 28 z - a z - 4 a$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(7 z^{2} + 28 z) - a z - 4 a$

Factor out the greatest common factor (GCF) from each group.

$7 z (z + 4) - a (z + 4)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $z + 4$ .

$(z + 4) (7 z - a)$